GCD of 829, 478, 97, 691 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 829, 478, 97, 691 i.e. 1 largest integer that divides all the numbers equally.

GCD of 829, 478, 97, 691 is 1

GCD(829, 478, 97, 691) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 829, 478, 97, 691 is 1

GCD(829, 478, 97, 691) = 1

GCD of 829,478,97,691 Calculator

GCDof 829,478,97,691 is 1

Given Input numbers are 829, 478, 97, 691

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 829, 478, 97, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 478, 97, 691 is 1.

Therefore, GCD of numbers 829, 478, 97, 691 is 1

Finding GCD of 829, 478, 97, 691 using Prime Factorization

Given Input Data is 829, 478, 97, 691

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 829 is 829

Prime Factorization of 478 is 2 x 239

Prime Factorization of 97 is 97

Prime Factorization of 691 is 691

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 829, 478, 97, 691 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(829, 478) = 396262

GCD(829, 478) = ( 829 x 478 ) / 396262

GCD(829, 478) = 396262 / 396262

GCD(829, 478) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 829, 478, 97, 691 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 829, 478, 97, 691

1. What is the GCD of 829, 478, 97, 691?

GCD of 829, 478, 97, 691 is 1


2. Where do I get the detailed procedure to find GCD of 829, 478, 97, 691?

You can find a detailed procedure to find GCD of 829, 478, 97, 691 on our page.


3. How to find GCD of 829, 478, 97, 691 on a calculator?

You can find the GCD of 829, 478, 97, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.